Ph.D. Student

I am working under the supervision of Prof. Lhouari Nourine at the LIMOS (Clermont-Ferrand, France). More precisely, I am part of the Algorithmics, Graphs and Complexity axis. My research interests are lattice theory and its possible uses in Learning Space Theory.

Examples of questions I am interested in: how to translate between representations of a lattice ? How to alter a lattice while keeping its structural properties ?

Keywords: lattice, learning space, meet-irreducible, implication bases, closure space, convex geometries.

Workshop & Seminars

  • Translating between the representations of a lattice.
    Séminaire des doctorants.
    LIMOS, Clermont-Ferrand, France, June 2019.
  • Introduction to lattice theory.
    Séminaire AlCoLoCo.
    LIMOS, Clermont-Ferrand, France, November 2018.
  • Horn minimization.
    FCA4KD (Formal Concept Analysis for Knowledge Discovery).
    HSE, Moscow, Russia, June 2018.


  • Translating between the representations of a ranked convex geometry.
    O. Defrain, L. Nourine and S. Vilmin.
    Submitted [arXiv]


I teach within the computer science institute at the UCA (Université Clermont Auvergne) in Clermont-Ferrand, France.

2018 - 2019
  • UML, école d'ingénieur (24h TD)
  • Génie logiciel, L3 informatique (24h TP)
  • Logique, L2 informatique (24h TP)
  • Algorithmique, L2 informatique (8h TD)


email: simon.vilmin(at)
phone: (+33) 4 73 40 51 87
office: D-009

LIMOS - Campus des Cézeaux
1 rue de la Chebarde
TSA 60125 - CS 60026
63178 Aubiere Cedex